113756160 has 288 divisors, whose sum is σ = 434790720. Its totient is φ = 24870912.

The previous prime is 113756141. The next prime is 113756191. The reversal of 113756160 is 61657311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4945909 + ... + 4945931.

It is an arithmetic number, because the mean of its divisors is an integer number (1509690).

Almost surely, 2^113756160 is an apocalyptic number.

113756160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113756160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217395360).

113756160 is an abundant number, since it is smaller than the sum of its proper divisors (321034560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113756160 is an equidigital number, since it uses as much as digits as its factorization.

113756160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 113756160 is about 10665.6532851954. The cubic root of 113756160 is about 484.5348003303.

The spelling of 113756160 in words is "one hundred thirteen million, seven hundred fifty-six thousand, one hundred sixty".